Multidimensional modal analysis of nonlinear sloshing in a rectangular tank with finite water depth

By Odd M. Faltinsen, Olav F. Rognebakke, I. Lukovsky, A. Timokha. Journal of Fluid Mechanics, 2000

436 citations recorded by the source corpus.

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Non‐linear sloshing in partially liquid filled containers with baffles (2006, background): “[24] derived the discrete infinite-dimensional modal system describing non-linear sloshing of an incompressible fluid with irrotational flow partially occupying a tank performing an arbitrary three-dimensional motion.”
Sloshing motions in excited tanks (2004, methodology): “A multimodal algorithm should be used [11].”
Two-dimensional resonant piston-like sloshing in a moonpool (2007, methodology): “…approximation of the linearized surface-wave problem that can be used as a basis in analytically oriented asymptotic studies of nonlinear resonant motions, as in the works by Faltinsen (1974) and Faltinsen et al. (2000), which were devoted to sloshing motions in two-dimensional rectangular tanks.”
An improved SPH method for modeling liquid sloshing dynamics (2012, neutral): “4 shows the wave heights obtained by SPH simulation and experiment [10] at the probe point in a 40 s time course.”
Resonant three-dimensional nonlinear sloshing in a square-base basin (2003, methodology): “They are exactly the same as derived by Faltinsen et al. (2000).”